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Finding the Third Proportional to 110,139 and 175,050

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Solution

The third proportional to 110,139 and 175,050 is: 278,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,139 : 175,050 = 175,050 : x
  2. Step 2: Convert to fraction form
    110,139/175,050 = 175,050/x
  3. Step 3: Cross multiply
    110,139x = 175,050 × 175,050
  4. Step 4: Simplify right side
    110,139x = 30,642,502,500
  5. Step 5: Solve for x
    x = 30,642,502,500/110,139
  6. Step 6: Final answer
    x = 278,216.64

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.